Summarized from USENET articles, circa 1983.

!    exclamation point, exclamation, bang, factorial, store (Forth), excl, 
     ball-bat, smash, shriek, cuss, wow, hey, pling
!!   double exlamation marks, double shrieks, uh-oh
!?   interrobang (as one overlapped character), whatxclamation 
"    double quote, quote, dirk,      literal mark, rabbit ears, 
     double pling (Danish)
#    pound sign, number sign, sharp, crunch, mesh, hex, hash, flash, 
     grid, pig-pen, tictactoe, scratchmark, octothorp (from Bell System), 
     gate (Dutch term)
£    (often appears as L with overstrike) pound sign, pound, quid
$    dollar sign, currency symbol, buck, cash, string (from BASIC), 
     escape (from TOPS-10), ding, big-money
%    percent sign, percent, mod, double-oh-seven 
&    ampersand, amper, and, address (from C), andpersand, cat
'    apostrophe, single quote, quote, prime, tick, irk, pop, spark, 
     pling, fnyt, dimmer, ping (last 4 from Danish edp-World)
( )  open/close parenthesis, left/right parenthesis, paren/thesis, 
     parenthisey, unparenthisey, open/close round bracket, ears, 
     so/already, wax/wane, bowlegs
*    asterisk, star, splat, indirection (from C), pointer (from C), 
     wildcard, gear, dingle
+    plus sign, plus, add, cross, intersection 
++   double-plus, increment (C++)
,    comma, tail
-    hyphen, dash, minus sign, worm
.    period, dot, decimal point, radix point, point, full stop, spot
/    virgule, slash, stroke, slant, diagonal, solidus, over, slat,
     forward slash, forward stroke
:    full-colon, colon, two-spot
;    semicolon, semi, hybrid, pollywog, tadpole
< >  angle brackets, left/right angle, less/greater than, 
     read from / write to, from/into, from/toward, in/out, 
     comesfrom/ gozinta (all from UNIX), funnel, brokets, 
     crunch/zap, suck/blow
=    equal sign, equals, quadrathorp, gets, half-mesh
?    question mark, whatmark, what, wildchar, ques, huh, quark
@    at sign, at, fetch (Forth), do/run (DEC command file), each, 
     vortex, whorl, whirlpool, cyclone, snail, ape, cat, ear
V    vee, book
[]   square brackets, left/right square bracket, bracket/unbracket,
     bra/ket, square/unsquare, U-turns
\    reversed virgule, backslash, bash, backslant, backhack, backslat,
     escape (from UNIX), backstroke (from Tele-Path)
^    circumflex, caret, uparrow, hat, chevron, up-hat, sharkfin,
     to ('the power of'), fang
`    grave accent, grave, backquote, left quote, open quote, back-prime,
     unapostrophe, backspark, birk, blugle, back tick, push, 
     (and from the Danish edp-World:) back-pling, tynf, pong 
{ }  open/close brace, left/right brace, brace/unbrace, curly bracket, 
     curly/uncurly, leftit/rytit, embrace/bracelet 
|    vertical bar, bar, or, v-bar, spike, pipe, gozinta, thru, 
     pipesinta (last four from UNIX)
~    tilde, swung dash, squiggle, approx, wiggle, twiddle, enyay,
     complement (C/C++)
/*   (from C) slashterisk
*/   (from C) asterslash
(*   (from Pascal) open comment, brackerisk, leftit
*)   (from Pascal) close comment, asterbrack, rightit
>>   cat-astrophe, right shift (C/C++)
<<   left-shift (C/C++)